%0 Journal Article
%T S^3 and S^4 Reductions of Type IIA Supergravity
%A M. Cvetic
%A H. Lu
%A C. N. Pope
%A A. Sadrzadeh
%A T. A. Tran
%J Physics
%D 2000
%I arXiv
%R 10.1016/S0550-3213(00)00466-1
%X We construct a consistent reduction of type IIA supergravity on S^3, leading to a maximal gauged supergravity in seven dimensions with the full set of massless SO(4) Yang-Mills fields. We do this by starting with the known S^4 reduction of eleven-dimensional supergravity, and showing that it is possible to take a singular limit of the resulting standard SO(5)-gauged maximal supergravity in seven dimensions, whose eleven-dimensional interpretation involves taking a limit where the internal 4-sphere degenerates to RxS^3. This allows us to reinterpret the limiting SO(4)-gauged theory in seven dimensions as the S^3 reduction of type IIA supergravity. We also obtain the consistent S^4 reduction of type IIA supergravity, which gives an SO(5)-gauged maximal supergravity in D=6.
%U http://arxiv.org/abs/hep-th/0005137v2